Quiz 3 Ch 5 If r+si is a solution to the equation ax2+bx +4 =y with s not = 0, express the coordinates of the vertex of the parabola in terms of r and s. Show all steps. Quiz 3 Ch 5 If r+si is a solution to the equation ax2+bx +4 =y with s not = 0, express the coordinates of the vertex of the parabola in terms of r and s. Show all steps. Solution We know from the quadratic formula that r+si = Separating into real and imaginary parts or if you factor out i = = −+√2 −4 2 − 2 and = − 2 = 2 √−2 +4 2 Looking at the quadratic equation in vertex form − ℎ= √2 −4 −2 +4 4 −2 +4 = ( + 2 2 ) 4 Since r is h, the x coordinate of the vertex is = − 2 Comparing s and k, the y coordinate of the vertex yields = √−2 +4 2 −2 +4 4 With some algebra 2 = −2 +4 42 k= so k= 2 Then the coordinates of the vertex in terms of r and s are (, 2 ) Solution We know from the quadratic formula that r+si = Separating into real and imaginary parts or if you factor out i = = −+√2 −4 − 2 2 and = ℎ= 2 = 2 √−2 +4 2 Looking at the quadratic equation in vertex form − − √2 −4 −2 +4 −2 +4 4 = ( + 2 ) 2 4 Since r is h, the x coordinate of the vertex is = − 2 Comparing s and k, the y coordinate of the vertex yields = −2 +4 4 With some algebra 2 = −2 +4 42 √−2 +4 2 so k= 2 Then the coordinates of the vertex in terms of r and s are (, 2 ) k=

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# Ch 5 Quiz 11-1-13 solution